ARTICLE
An alternative approach to jerk in motion along a space curve with applications
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1
Sakarya University, Mathematics Department, Sakarya, Turkey
2
Boğaziçi University, Physics Department, Istanbul, Turkey
Submission date: 2018-10-08
Acceptance date: 2019-01-11
Publication date: 2019-04-15
Journal of Theoretical and Applied Mechanics 2019;57(2):435-444
KEYWORDS
ABSTRACT
Jerk is the time derivative of an acceleration vector and, hence, the third time derivative of
the position vector. In this paper, we consider a particle moving in the three dimensional
Euclidean space and resolve its jerk vector along the tangential direction, radial direction in
the osculating plane and the other radial direction in the rectifying plane. Also, the case for
planar motion in space is given as a corollary. Furthermore, motion of an electron under a
constant magnetic field and motion of a particle along a logarithmic spiral curve are given as
illustrative examples. The aforementioned decomposition is a new contribution to the field
and it may be useful in some specific applications that may be considered in the future.
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